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Finding the Third Proportional to 321.84 and 702.69

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Solution

The third proportional to 321.84 and 702.69 is: 1,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 702.69 = 702.69 : x
  2. Step 2: Convert to fraction form
    321.84/702.69 = 702.69/x
  3. Step 3: Cross multiply
    321.84x = 702.69 × 702.69
  4. Step 4: Simplify right side
    321.84x = 493,769.72
  5. Step 5: Solve for x
    x = 493,769.72/321.84
  6. Step 6: Final answer
    x = 1,534.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.